TSTP Solution File: RNG097+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG097+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jtwd3zFosY true

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 14:06:52 EDT 2023

% Result   : Theorem 10.97s 2.16s
% Output   : Refutation 10.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  124 (  48 unt;  15 typ;   0 def)
%            Number of atoms       :  215 (  45 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  641 (  86   ~;  82   |;  12   &; 449   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   67 (   0   ^;  67   !;   0   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xx_type,type,
    xx: $i ).

thf(xb_type,type,
    xb: $i ).

thf(sz10_type,type,
    sz10: $i ).

thf(xy_type,type,
    xy: $i ).

thf(sz00_type,type,
    sz00: $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(aIdeal0_type,type,
    aIdeal0: $i > $o ).

thf(xI_type,type,
    xI: $i ).

thf(xa_type,type,
    xa: $i ).

thf(xJ_type,type,
    xJ: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(mSortsU,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( aElement0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(mMulMnOne,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
          = ( smndt0 @ W0 ) )
        & ( ( smndt0 @ W0 )
          = ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ X0 )
        = ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulMnOne]) ).

thf(m__1294,axiom,
    ( ( ( sdtpldt0 @ xa @ xb )
      = sz10 )
    & ( aElementOf0 @ xb @ xJ )
    & ( aElementOf0 @ xa @ xI ) ) ).

thf(zip_derived_cl66,plain,
    aElementOf0 @ xa @ xI,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(mDefIdeal,axiom,
    ! [W0: $i] :
      ( ( aIdeal0 @ W0 )
    <=> ( ( aSet0 @ W0 )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ W0 )
           => ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ W0 )
                 => ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
              & ! [W2: $i] :
                  ( ( aElement0 @ W2 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElementOf0 @ ( sdtasdt0 @ X2 @ X0 ) @ X1 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aIdeal0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i] :
      ( ~ ( aIdeal0 @ xI )
      | ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ xa ) @ xI ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl48]) ).

thf(m__1205,axiom,
    ( ( aIdeal0 @ xJ )
    & ( aIdeal0 @ xI ) ) ).

thf(zip_derived_cl60,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl330,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ xa ) @ xI ) ),
    inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl60]) ).

thf(zip_derived_cl966,plain,
    ( ( aElementOf0 @ ( smndt0 @ xa ) @ xI )
    | ~ ( aElement0 @ xa )
    | ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl330]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aIdeal0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl66_001,plain,
    aElementOf0 @ xa @ xI,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl70,plain,
    ( ~ ( aSet0 @ xI )
    | ( aElement0 @ xa ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl25]) ).

thf(zip_derived_cl84,plain,
    ( ~ ( aIdeal0 @ xI )
    | ( aElement0 @ xa ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl70]) ).

thf(zip_derived_cl60_002,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl85,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl60]) ).

thf(zip_derived_cl974,plain,
    ( ( aElementOf0 @ ( smndt0 @ xa ) @ xI )
    | ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl966,zip_derived_cl85]) ).

thf(zip_derived_cl992,plain,
    ( ~ ( aElement0 @ sz10 )
    | ( aElementOf0 @ ( smndt0 @ xa ) @ xI ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl974]) ).

thf(mSortsC_01,axiom,
    aElement0 @ sz10 ).

thf(zip_derived_cl2,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl993,plain,
    aElementOf0 @ ( smndt0 @ xa ) @ xI,
    inference(demod,[status(thm)],[zip_derived_cl992,zip_derived_cl2]) ).

thf(zip_derived_cl48_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElementOf0 @ ( sdtasdt0 @ X2 @ X0 ) @ X1 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aIdeal0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl996,plain,
    ! [X0: $i] :
      ( ~ ( aIdeal0 @ xI )
      | ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( smndt0 @ xa ) ) @ xI ) ),
    inference('sup-',[status(thm)],[zip_derived_cl993,zip_derived_cl48]) ).

thf(zip_derived_cl60_004,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl1000,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( smndt0 @ xa ) ) @ xI ) ),
    inference(demod,[status(thm)],[zip_derived_cl996,zip_derived_cl60]) ).

thf(m__,conjecture,
    aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl69,plain,
    ~ ( aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ( ( sdtpldt0 @ xa @ xb )
    = sz10 ),
    inference(cnf,[status(esa)],[m__1294]) ).

thf(mAddInvr,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz00 )
        & ( sz00
          = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( sz00
        = ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddInvr]) ).

thf(mAddAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
        = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl242]) ).

thf(zip_derived_cl3_005,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(zip_derived_cl6675,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl3]) ).

thf(zip_derived_cl6752,plain,
    ( ( ( sdtpldt0 @ sz00 @ xb )
      = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz10 ) )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xa ) ),
    inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl6675]) ).

thf(mAddComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtpldt0 @ W0 @ W1 )
        = ( sdtpldt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl47_006,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aIdeal0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl65,plain,
    aElementOf0 @ xb @ xJ,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl25_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl71,plain,
    ( ~ ( aSet0 @ xJ )
    | ( aElement0 @ xb ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl25]) ).

thf(zip_derived_cl86,plain,
    ( ~ ( aIdeal0 @ xJ )
    | ( aElement0 @ xb ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl71]) ).

thf(zip_derived_cl59,plain,
    aIdeal0 @ xJ,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl87,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl59]) ).

thf(zip_derived_cl148,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xb @ X0 )
        = ( sdtpldt0 @ X0 @ xb ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl87]) ).

thf(mAddZero,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz00 )
          = W0 )
        & ( W0
          = ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl1138,plain,
    ( ( ( sdtpldt0 @ sz00 @ xb )
      = xb )
    | ~ ( aElement0 @ sz00 )
    | ~ ( aElement0 @ xb ) ),
    inference('sup+',[status(thm)],[zip_derived_cl148,zip_derived_cl8]) ).

thf(mSortsC,axiom,
    aElement0 @ sz00 ).

thf(zip_derived_cl1,plain,
    aElement0 @ sz00,
    inference(cnf,[status(esa)],[mSortsC]) ).

thf(zip_derived_cl87_008,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl59]) ).

thf(zip_derived_cl1164,plain,
    ( ( sdtpldt0 @ sz00 @ xb )
    = xb ),
    inference(demod,[status(thm)],[zip_derived_cl1138,zip_derived_cl1,zip_derived_cl87]) ).

thf(zip_derived_cl87_009,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl59]) ).

thf(zip_derived_cl85_010,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl60]) ).

thf(zip_derived_cl6826,plain,
    ( xb
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6752,zip_derived_cl1164,zip_derived_cl87,zip_derived_cl85]) ).

thf(zip_derived_cl6_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl6891,plain,
    ( ( xb
      = ( sdtpldt0 @ sz10 @ ( smndt0 @ xa ) ) )
    | ~ ( aElement0 @ sz10 )
    | ~ ( aElement0 @ ( smndt0 @ xa ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6826,zip_derived_cl6]) ).

thf(zip_derived_cl2_012,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl47_013,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aIdeal0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl993_014,plain,
    aElementOf0 @ ( smndt0 @ xa ) @ xI,
    inference(demod,[status(thm)],[zip_derived_cl992,zip_derived_cl2]) ).

thf(zip_derived_cl25_015,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl994,plain,
    ( ~ ( aSet0 @ xI )
    | ( aElement0 @ ( smndt0 @ xa ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl993,zip_derived_cl25]) ).

thf(zip_derived_cl1002,plain,
    ( ~ ( aIdeal0 @ xI )
    | ( aElement0 @ ( smndt0 @ xa ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl994]) ).

thf(zip_derived_cl60_016,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl1003,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl60]) ).

thf(zip_derived_cl6908,plain,
    ( xb
    = ( sdtpldt0 @ sz10 @ ( smndt0 @ xa ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6891,zip_derived_cl2,zip_derived_cl1003]) ).

thf(zip_derived_cl6675_017,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl3]) ).

thf(zip_derived_cl6950,plain,
    ( ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
      = ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xb ) )
    | ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ~ ( aElement0 @ sz10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6908,zip_derived_cl6675]) ).

thf(zip_derived_cl1003_018,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl60]) ).

thf(zip_derived_cl2_019,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl6962,plain,
    ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
    = ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl6950,zip_derived_cl1003,zip_derived_cl2]) ).

thf(zip_derived_cl6_020,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl85_021,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl60]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xa @ X0 )
        = ( sdtpldt0 @ X0 @ xa ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl85]) ).

thf(zip_derived_cl11_022,plain,
    ! [X0: $i] :
      ( ( sz00
        = ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddInvr]) ).

thf(zip_derived_cl2415,plain,
    ( ( sz00
      = ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
    | ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ~ ( aElement0 @ xa ) ),
    inference('sup+',[status(thm)],[zip_derived_cl147,zip_derived_cl11]) ).

thf(zip_derived_cl1003_023,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl60]) ).

thf(zip_derived_cl85_024,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl60]) ).

thf(zip_derived_cl2448,plain,
    ( sz00
    = ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2415,zip_derived_cl1003,zip_derived_cl85]) ).

thf(zip_derived_cl6675_025,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl3]) ).

thf(zip_derived_cl6747,plain,
    ( ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
      = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz00 ) )
    | ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ~ ( aElement0 @ xa ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2448,zip_derived_cl6675]) ).

thf(zip_derived_cl1003_026,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl60]) ).

thf(zip_derived_cl85_027,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl60]) ).

thf(zip_derived_cl6821,plain,
    ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6747,zip_derived_cl1003,zip_derived_cl85]) ).

thf(zip_derived_cl8_028,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl7976,plain,
    ( ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
      = ( smndt0 @ xa ) )
    | ~ ( aElement0 @ ( smndt0 @ xa ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6821,zip_derived_cl8]) ).

thf(zip_derived_cl1003_029,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl60]) ).

thf(zip_derived_cl7989,plain,
    ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
    = ( smndt0 @ xa ) ),
    inference(demod,[status(thm)],[zip_derived_cl7976,zip_derived_cl1003]) ).

thf(zip_derived_cl10444,plain,
    ( ( smndt0 @ xa )
    = ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl6962,zip_derived_cl7989]) ).

thf(zip_derived_cl6_030,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl3_031,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ ( smndt0 @ X0 ) @ X1 )
        = ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).

thf(zip_derived_cl10462,plain,
    ( ( ( smndt0 @ xa )
      = ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) )
    | ~ ( aElement0 @ sz10 )
    | ~ ( aElement0 @ xb ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10444,zip_derived_cl142]) ).

thf(zip_derived_cl2_032,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl87_033,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl59]) ).

thf(zip_derived_cl10479,plain,
    ( ( smndt0 @ xa )
    = ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl10462,zip_derived_cl2,zip_derived_cl87]) ).

thf(zip_derived_cl10481,plain,
    ~ ( aElementOf0 @ ( sdtasdt0 @ xx @ ( smndt0 @ xa ) ) @ xI ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl10479]) ).

thf(zip_derived_cl15917,plain,
    ~ ( aElement0 @ xx ),
    inference('sup-',[status(thm)],[zip_derived_cl1000,zip_derived_cl10481]) ).

thf(m__1217,axiom,
    ( ( aElement0 @ xy )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl63,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(zip_derived_cl15953,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl15917,zip_derived_cl63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG097+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jtwd3zFosY true
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 02:44:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.97/2.16  % Solved by fo/fo5.sh.
% 10.97/2.16  % done 2200 iterations in 1.396s
% 10.97/2.16  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.97/2.16  % SZS output start Refutation
% See solution above
% 10.97/2.17  
% 10.97/2.17  
% 10.97/2.17  % Terminating...
% 11.20/2.24  % Runner terminated.
% 11.22/2.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------